Transformations of Linear Functions
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a vertical translation of a function?
Back
A vertical translation moves the graph of a function up or down without changing its shape. For example, replacing f(x) with f(x) + c translates the graph up by c units if c > 0, and down by c units if c < 0.
2.
FLASHCARD QUESTION
Front
What happens to the graph of f(x) when it is replaced with f(x) + 2?
Back
The graph of f(x) shifts vertically up by 2 units.
3.
FLASHCARD QUESTION
Front
What is a horizontal translation of a function?
Back
A horizontal translation moves the graph of a function left or right. For example, replacing f(x) with f(x - c) shifts the graph right by c units if c > 0, and left by c units if c < 0.
4.
FLASHCARD QUESTION
Front
What happens to the graph of f(x) when it is replaced with f(x - 4)?
Back
The graph of f(x) shifts horizontally right by 4 units.
5.
FLASHCARD QUESTION
Front
What is a vertical stretch of a function?
Back
A vertical stretch occurs when the output of a function is multiplied by a factor greater than 1. For example, replacing f(x) with kf(x) where k > 1 stretches the graph vertically.
6.
FLASHCARD QUESTION
Front
What happens to the graph of f(x) when it is replaced with 2f(x)?
Back
The graph of f(x) undergoes a vertical stretch by a factor of 2.
7.
FLASHCARD QUESTION
Front
What is a vertical compression of a function?
Back
A vertical compression occurs when the output of a function is multiplied by a factor between 0 and 1. For example, replacing f(x) with kf(x) where 0 < k < 1 compresses the graph vertically.
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